{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 687.5, 346.5, -0.5)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 本文讲述的是FCN8s softmax层之前输出的特征图，如何变为预测图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# FCN 最后一层接softmax并预测 原理讲解\n",
    "\n",
    "# example:\n",
    "# ---------\n",
    "#     输入描述：\n",
    "#         FCN 最后一层输出尺寸  eg： 1*3*4*4  ===>即 1张 3通道的 4*4特征图\n",
    "#         可知通道数，即为分类数，即有多少个分类。\n",
    "#         每个通道的编号对应一个分类。\n",
    "#         \n",
    "#     输出描述：\n",
    "#         通过，FCN网咯得到的预测分数图，变为一张可视化的图片，即网络的预测的最终结果\n",
    "#     \n",
    "#     目的：\n",
    "#         将输入和输出的过程，用程序一步一步实现 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "os.environ['KMP_DUPLICATE_LIB_OK'] = 'True'  # 防止jupter服务挂了\n",
    "\n",
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from PIL import Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[[[-0.6992,  0.5492,  0.6615,  1.3042],\n",
       "          [-1.4143,  0.9062,  0.2197, -0.3052],\n",
       "          [ 1.2733,  0.3284,  1.1623,  1.0637],\n",
       "          [-0.0313, -0.6160, -0.0122, -0.4299]],\n",
       "\n",
       "         [[ 0.6164, -0.2218,  0.6222,  0.2417],\n",
       "          [ 0.7219, -0.4449, -0.2688, -0.1846],\n",
       "          [-0.5712, -0.3094,  1.8387,  0.3433],\n",
       "          [-0.2889,  0.2255,  0.3556, -0.1865]],\n",
       "\n",
       "         [[ 1.7383, -0.3165,  1.4107,  0.9335],\n",
       "          [ 0.2647,  0.1661, -1.0531,  0.1479],\n",
       "          [ 1.3052, -1.6470, -0.7870, -1.1018],\n",
       "          [ 1.3137, -0.2905,  0.8465, -2.0443]]]])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 模拟  预测图生成\n",
    "pre_label = torch.randn(1,3,4,4) # 一张3通道，4 * 4 的图片。  每个通道对应一个分类。\n",
    "pre_label"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.return_types.max(\n",
       "values=tensor([[[ 1.7383,  0.5492,  1.4107,  1.3042],\n",
       "         [ 0.7219,  0.9062,  0.2197,  0.1479],\n",
       "         [ 1.3052,  0.3284,  1.8387,  1.0637],\n",
       "         [ 1.3137,  0.2255,  0.8465, -0.1865]]]),\n",
       "indices=tensor([[[2, 0, 2, 0],\n",
       "         [1, 0, 0, 2],\n",
       "         [2, 0, 1, 0],\n",
       "         [2, 1, 2, 1]]]))"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 取这张预测图片 (x,y) 像素点处，在每个通道中的最大值  w,h,n\n",
    "pre_label.max(1)\n",
    "torch.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([1, 4, 4])\n",
      "tensor([[[2, 0, 2, 0],\n",
      "         [1, 0, 0, 2],\n",
      "         [2, 0, 1, 0],\n",
      "         [2, 1, 2, 1]]])\n"
     ]
    }
   ],
   "source": [
    "# 取其下标对应的通道编号\n",
    "# 已知每个通道编号，便是一个分类。所以取其通道号\n",
    "pre = pre_label.max(1)[1]\n",
    "print(pre.shape)\n",
    "print(pre)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([4, 4])\n",
      "tensor([[2, 0, 2, 0],\n",
      "        [1, 0, 0, 2],\n",
      "        [2, 0, 1, 0],\n",
      "        [2, 1, 2, 1]])\n"
     ]
    }
   ],
   "source": [
    "# 将上一步的结果，变为2维tensor.\n",
    "# 目的：降维使其变为2维tensor\n",
    "pre = pre_label.max(1)[1].squeeze()\n",
    "print(pre.shape)\n",
    "print(pre)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[2, 0, 2, 0],\n",
       "       [1, 0, 0, 2],\n",
       "       [2, 0, 1, 0],\n",
       "       [2, 1, 2, 1]], dtype=int64)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 变成numpy数组，方便可视化为图片\n",
    "pre = pre_label.max(1)[1].squeeze().data.numpy()\n",
    "pre"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[  0,   0,   0],\n",
       "       [  0, 255, 127],\n",
       "       [220,  20,  60],\n",
       "       [255, 255,   0],\n",
       "       [  0, 191, 255]], dtype=uint8)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 可视化上一步的这个矩阵   变为有颜色的预测图\n",
    "\n",
    "# 已知\n",
    "#      1.上面每个元素对应一个通道号\n",
    "#      2.一个通道号对应一个分类\n",
    "#      3.一个分类，对应一个RGB值\n",
    "\n",
    "# 这一步目的：\n",
    "#        那我么这一步所作的事，就是将每个通道号变为图片上的RGB值，变为3通道的图片\n",
    "#        简单的说就是 将一个整数 映射 为RGB 3个分量\n",
    "\n",
    "# 步骤 1. 得到映射 关系\n",
    "#       已知\n",
    "#      (0) ==> Background->(0,0,0), (1)==>Vegetation->(0,255,127), (2)==>Roads->(220,20,60),(3)==>Building->(255,255,0), \n",
    "#         (4)==> River->(0,191,255)\n",
    "#       color = [[0,0,0],[0,255,127],[220,20,60],[255,255,0],[0,191,255]]\n",
    "\n",
    "color = [[0,0,0],[0,255,127],[220,20,60],[255,255,0],[0,191,255]]\n",
    "colormap = np.array(color).astype('uint8')\n",
    "# 得到颜色矩阵\n",
    "colormap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(4, 4, 3) 这个图片是 3 维的，大小为: w =  4 h =  4\n",
      "[[[220  20  60]\n",
      "  [  0   0   0]\n",
      "  [220  20  60]\n",
      "  [  0   0   0]]\n",
      "\n",
      " [[  0 255 127]\n",
      "  [  0   0   0]\n",
      "  [  0   0   0]\n",
      "  [220  20  60]]\n",
      "\n",
      " [[220  20  60]\n",
      "  [  0   0   0]\n",
      "  [  0 255 127]\n",
      "  [  0   0   0]]\n",
      "\n",
      " [[220  20  60]\n",
      "  [  0 255 127]\n",
      "  [220  20  60]\n",
      "  [  0 255 127]]]\n"
     ]
    }
   ],
   "source": [
    "# 这就是将整数替换成颜色后的结果\n",
    "resultmap = colormap[pre]   # 其实这里用的映射原理是 resultmap[0][0] = colormap[  pre[0][0] ]\n",
    "\n",
    "print(resultmap.shape,'这个图片是',resultmap.shape[2],'维的，大小为: w = ',resultmap.shape[0],'h = ',resultmap.shape[1])\n",
    "print(resultmap)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x195f4767dc8>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from PIL import Image\n",
    "\n",
    "\n",
    "pre = Image.fromarray(resultmap)\n",
    "\n",
    "plt.imshow(pre)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#是不是刚好对应于上述  第七个框框得到的矩阵啊\n",
    "\n",
    "# array([[2, 0, 2, 0],\n",
    "#        [1, 0, 0, 2],\n",
    "#        [2, 0, 1, 0],\n",
    "#        [2, 1, 2, 1]], dtype=int64)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
